The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions
We solve the extended Leibniz rule T(f•g)=Tf•Ag+Af•Tg for operators T and A in the space of rapidly decreasing functions in both cases of complex and real-valued functions.
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Schriftenreihe: | Журнал математической физики, анализа, геометрии |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/145878 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions / Hermann König, Vitali Milman // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 3. — С. 336-361. — Бібліогр.: 11 назв. — англ. |
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irk-123456789-1458782019-02-03T01:23:09Z The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions König, Hermann Milman, Vitali We solve the extended Leibniz rule T(f•g)=Tf•Ag+Af•Tg for operators T and A in the space of rapidly decreasing functions in both cases of complex and real-valued functions. Ми розв язуємо узагальнене правило Лейбниця T(f•g)=Tf•Ag+Af•Tg для операторiв T та A у просторi швидко спадних функцiй, як у випадку комплекснозначних функцiй, так i у випадку дiйснозначних функцiй. 2018 Article The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions / Hermann König, Vitali Milman // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 3. — С. 336-361. — Бібліогр.: 11 назв. — англ. 1812-9471 DOI: https://doi.org/10.15407/mag14.03.336 Mathematics Subject Classification 2000: 39B42, 47A62, 26A24 http://dspace.nbuv.gov.ua/handle/123456789/145878 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We solve the extended Leibniz rule T(f•g)=Tf•Ag+Af•Tg for operators T and A in the space of rapidly decreasing functions in both cases of complex and real-valued functions. |
| format |
Article |
| author |
König, Hermann Milman, Vitali |
| spellingShingle |
König, Hermann Milman, Vitali The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions Журнал математической физики, анализа, геометрии |
| author_facet |
König, Hermann Milman, Vitali |
| author_sort |
König, Hermann |
| title |
The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions |
| title_short |
The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions |
| title_full |
The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions |
| title_fullStr |
The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions |
| title_full_unstemmed |
The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions |
| title_sort |
extended leibniz rule and related equations in the space of rapidly decreasing functions |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/145878 |
| citation_txt |
The Extended Leibniz Rule and Related Equations in the Space of Rapidly Decreasing Functions / Hermann König, Vitali Milman // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 3. — С. 336-361. — Бібліогр.: 11 назв. — англ. |
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Журнал математической физики, анализа, геометрии |
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2025-07-10T22:47:16Z |
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